18423568800 has 1296 divisors, whose sum is σ = 84746450880. Its totient is φ = 3849431040.

The previous prime is 18423568769. The next prime is 18423568819. The reversal of 18423568800 is 886532481.

18423568800 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 3 + 568 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 178869549 + ... + 178869651.

It is an arithmetic number, because the mean of its divisors is an integer number (65390780).

Almost surely, 2^18423568800 is an apocalyptic number.

18423568800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18423568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42373225440).

18423568800 is an abundant number, since it is smaller than the sum of its proper divisors (66322882080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18423568800 is a wasteful number, since it uses less digits than its factorization.

18423568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18423568800 in words is "eighteen billion, four hundred twenty-three million, five hundred sixty-eight thousand, eight hundred".